Continuous Preparation of a Fractional Chern Insulator

Abstract

We present evidence of a direct, continuous quantum phase transition between a Bose superfluid and the $\nu =1/2$ fractional Chern insulator in a microscopic lattice model. In the process, we develop a detailed field theoretic description of this transition in terms of the low energy vortex dynamics. The theory explicitly accounts for the structure of lattice symmetries and predicts a Landau forbidden transition that is protected by inversion. That the transition is continuous enables the quasi-adiabatic preparation of the fractional Chern insulator in non-equilibrium, quantum optical systems.

9 pages, 5 figures. Version 2: revised presentation of numerical diagnostics

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Cited by in corpus (32)

• Anyon condensation and its applications
• Realization of a fractional quantum Hall state with ultracold atoms
• Floquet symmetry-protected topological phases in cold atomic systems
• Topological properties of a dense atomic lattice gas
• A Quantum Dipolar Spin Liquid
• Realizing and Adiabatically Preparing Bosonic Integer and Fractional Quantum Hall states in Optical Lattices
• Haldane-Hubbard Mott Insulator: From Tetrahedral Spin Crystal to Chiral Spin Liquid
• Classification of topological insulators and superconductors out of equilibrium
• Phase transitions and adiabatic preparation of a fractional Chern insulator in a boson cold atom model
• Stability of fractional Chern insulators in the effective continuum limit of Harper-Hofstadter bands with Chern number $|C|>1$
• Phase transitions out of quantum Hall states in moiré materials
• ${\mathbb{Z}}_2$ lattice gauge theories and Kitaev's toric code: A scheme for analog quantum simulation
• Emergent Multi-flavor QED3 at the Plateau Transition between Fractional Chern Insulators: Applications to graphene heterostructures
• Realizing Hopf Insulators in Dipolar Spin Systems
• Recent Developments in Fractional Chern Insulators
• Bosonic Pfaffian State in the Hofstadter-Bose-Hubbard Model
• Charge and statistics of lattice quasiholes from density measurements: a Tree Tensor Network study
• Measurable signatures of bosonic fractional Chern insulator states and their fractional excitations in a quantum-gas microscope
• Preparation of Low Entropy Correlated Many-body States via Conformal Cooling Quenches
• Parafermionic zero modes in ultracold bosonic systems
• Deconfined criticalities and dualities between chiral spin liquid, topological superconductor and charge density wave Chern insulator
• Growing Extended Laughlin States in a Quantum Gas Microscope: A Patchwork Construction
• Emergent QCD${}_3$ Quantum Phase Transitions of Fractional Chern Insulators
• Bilayer fractional quantum Hall states with ultracold dysprosium
• Variational identification of a fractional Chern insulator in an extended Bose-Hubbard model
• Phase transitions of bosonic fractional quantum Hall effect in topological flat bands
• Floquet Flux Attachment in Cold Atomic Systems
• Continuous Transition between Bosonic Fractional Chern Insulator and Superfluid
• Optimal control for preparing fractional quantum Hall states in optical lattices
• Interaction-driven plateau transition between integer and fractional Chern Insulators
• Self-duality protected multi-criticality in deconfined quantum phase transitions
• Fractional Wannier Orbitals and Tight-Binding Gauge Fields for Kitaev Honeycomb Superlattices with Flat Majorana Bands